Complete the conjecture about the next number in the sequence:1, 3, 9, 27, 81, ?Conjecture: "The next number will be

A number that represents the property of the sample is the statistics.

Statistics refer to that number that describes a particular property of a sample set of numbers. It is the common property shared by all the numbers of the sample set. It involves the collection of data and information and then categorizing them according to their properties and inferences.

'Mean and proportion' is mathematical calculations that can be carried out on statistic number sets.

Mean refers to the average of the number set that is provided to us. It is calculated by adding the numbers and dividing them by the number of terms.

Proportion refers to the fraction of the number set according to some characteristics shared by the numbers.

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Answer:

2 hours 45 minutes.

Step-by-step explanation:

9 :00 - 8:50 = 10 minutes.

11:35 - 9.00 = 2 hours 35 minutes.

So length of the trip = 2 hours 45 minutes.

Answer:

Solution given:

the trip take =11:35-8:50=2 hours 45 minutes.

The values of arc length and area of the sector in terms of π are 4.8 yds and 7.25 πyd² respectively.

The distance that runs through the curved line of the circle making up the arc is known as the arc length.

A sector is the area bounded by an arc and radii of a circle.

The length of an arc is expressed as;

l = θ/360 × 2πr

l = 290/360 × 2 × 3 × π

l = 4.8 π yds

The area of a sector is expressed as;

A = θ/360 × π × r²

A = 290/360 × 9π

A = 7.25 π yd²

Therefore the length of an arc and the area of the sector in terms of π are 4.8 yds and 7.25 πyd² respectively.

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Functiοn mοdels the relatiοnship between the cοncentratiοn οf the medicatiοn in milligrams is P(t) = 25.5(0.838)ˣ and number οf hοurs since the medicatiοn was taken, t is 2 hοurs.

The cοncentratiοn οf the drug in the blοοdstream at t = 8 hοurs is 24 mg/L. Frοm t= 0 tο t= 2 hr, the cοncentratiοn is increasing and after 2 hrs the cοncentratiοn is decreasing. The level οf the drug in the blοοdstream reaches its maximum value at t=2 hrs , and  the cοncentratiοn in the blοοdstream at that time is 25.5 mg/L.

\After the drug reaches its maximum level in the blοοdstream, 8 additiοnal hοurs are required fοr the level tο drοp    tο 16 mg/L. As at t= 10 hrs, cοncentratiοn is 16 mg/L and maximum cοncentratiοn is at t=2hrs. Sο, additiοnal hοurs= 10-2=8 hrs

P(t) = 25.5( 1-16.2%)ˣ

= 25.5((100 - 16.2)/100)ˣ

= 25.5(83.8/100)ˣ

P(t) = 25.5(0.838)ˣ

Hence, functiοn mοdels the relatiοnship between the cοncentratiοn οf the medicatiοn in milligrams is P(t) = 25.5(0.838)ˣ and number οf hοurs since the medicatiοn was taken, t is 2 hοurs.

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Complete question:

9. A patient has taken 25.5 mg of a prescribed medication. The concentration of the medication in the body decreases at a rate of 16.2% per hour.

Which function models the relationship between the concentration of the medication in milligrams, p(t), and the number of hours since the medication was taken, t?

Answer:

Step-by-step explanation:

12.7% = 12.7/100 = 0.127

a) The total number of marbles is 6 + 12 = 18.P(a red marble) = 6/18 = 1/3

b) There are 12 odd-numbered marbles in total. P(an odd-numbered marble) = 12/18 = 2/3

The probability that the marble drawn from the jar is red can be found using the formula for probability. The probability formula can be written as the ratio of the number of favorable outcomes to the total number of possible outcomes. P(a red marble) = number of red marbles / total number of marbles. In this case, there are 6 red marbles and 12 blue marbles in the jar. Therefore, the total number of marbles is 6 + 12 = 18.P(a red marble) = 6/18 = 1/3(b) The probability that the marble drawn from the jar is odd-numbered can be found using the formula for probability. The probability formula can be written as the ratio of the number of favorable outcomes to the total number of possible outcomes. P(an odd-numbered marble) = number of odd-numbered marbles / total number of marbles. In this case, there are 6 red marbles numbered 1 to 6 and 12 blue marbles numbered 1 to 12 in the jar. Therefore, the total number of marbles is 6 + 12 = 18.To find the number of odd-numbered marbles, we need to count the number of red and blue marbles numbered 1, 3, 5, 7, 9, 11. There are 6 odd-numbered red marbles and 6 odd-numbered blue marbles. Therefore, there are 12 odd-numbered marbles in total. P(an odd-numbered marble) = 12/18 = 2/3

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Answer:

the answer is D  (-2 + 4)

Step-by-step explanation:

the lower line shows -2 and the higher one shows +4

Answer: The cubical block covers 100 \(cm^{2}\) of the table's area.

Step-by-step explanation:

A cube is a three-dimensional object which can be assumed as a collection of many squares (two-dimensional objects) piled together on top of each other.

As the block is cubical:

all sides of the block are equal which means

length = breadth= height of the cube= 10 cm

The area of a square is defined as the square of its side.

=> area of square= a X a { if  a = side of the cube}    [1]

in the question, a=10 cm

hence from equation [1]:

area occupied = 10 cm X 10 cm = 100\(cm^{2}\)

Note : unit of area= cm X cm =    \(cm^{2}\)

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\(-7x-9y=-8\)

\(5x+6y=4\)

\(-35x-45y=-40\)

\(35x+42y=28\)

\(-3y=-12\)

\(y=4\)

\(5x+6(4)=4\)

\(5x+24=4\)

\(5x=-20\)

\(x=-4\)

\((-4,4)\)

Hope this helps.

頑張って!

Answer: S=4 “C is correct”

Step-by-step explanation:

Both legs equal each other so if one leg is 4 the other leg is 4. I got the answer right in the Apex quiz.

For quickly creating a series of scatterplots for a large dataset, a data analyst should use a software tool specifically designed for data visualization.

There are several options for software tools that can be used for this purpose, including:

Tableau: A powerful data visualization software that provides an intuitive interface for creating scatterplots, as well as a wide range of other types of visualizations.

R: An open-source programming language for data analysis that has several libraries for creating scatterplots, including ggplot2, lattice, and base plotting.

Excel: A widely used spreadsheet software that has basic data visualization capabilities, including scatterplots, line charts, and bar charts.

Matplotlib: A popular Python library for creating visualizations, including scatterplots. It can be used in conjunction with the data analysis library pandas to easily create scatterplots from large datasets.

In general, data analysts should choose a software tool that is well suited to their needs and experience level and that is well suited to the task of visualizing large datasets. It's also important to consider the ease of use, speed of data processing, and the capabilities for customization and formatting of the scatterplots.

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Answer:

x = 12

Explanation:

Given the expression

17-5(2x-9)=-(-6x+10)+4

​Open the parenthesis

17 - 5(2x) - 5(-9) = -6x + 10 + 4

17 - 10x + 45 = -6x + 14

-10x + 62 = -6x + 14

Collect the like terms

-10x + 6x = 14 - 62

-4x = -48

Divide both sides by -4

-4x/-4 = -48/-4

x = 48/4

x = 12

Hence the value of x that makes the equation true is 12

Answer:

103.6

Step-by-step explanation:

8 rounds up

Answer:

30

Step-by-step explanation:

this is the explanation

6÷20% = 30

Answer:

y=-12

hope this helps!

Using the plus 4 method, the 95% confidence interval for the difference in proportion of individuals developing a cold after viral exposure between the Echinacea and the placebo is (-0.158, 0.397). Based on this confidence interval, we can conclude that there is no significant difference in the proportion of individuals developing a cold between the Echinacea and the placebo groups.

To determine the 95% confidence interval for the difference in the proportion of individuals developing a cold between the Echinacea and placebo groups, we can use the plus 4 method for small sample sizes.

First, we calculate the proportions of individuals who developed a cold in each group.

In the placebo group, out of 103 subjects, 88 developed a cold, giving a proportion of 88/103 ≈ 0.854.

In the Echinacea group, out of 48 subjects, 44 developed a cold, giving a

proportion of 44/48 ≈ 0.91

Next, we add 2 to the number of successes and 2 to the total number of observations in each group to apply the plus 4 adjustment.

This gives us 90 successes out of 107 observations in the placebo group (0.841) and 46 successes out of 52 observations in the Echinacea group (0.885).

To calculate the 95% confidence interval, we can use the formula:

\(CI = (p1 - p2) \pm Z \times \sqrt{(p1(1-p1)/n1} + p2(1-p2)/n2)\)

where p1 and p2 are the adjusted proportions, n1 and n2 are the respective sample sizes, and Z is the critical value for a 95% confidence interval (approximately 1.96).

Substituting the values into the formula, we get:

\(CI = (0.841 - 0.885) \pm 1.96 \times \sqrt{((0.841(1-0.841)/107) + (0.885(1-0.885)/52))}\)

Calculating the values within the square root and the overall expression, we can find the lower and upper bounds of the confidence interval.

Interpreting the results, if we repeat this experiment many times and construct 95% confidence intervals, we can expect that approximately 95% of these intervals will contain the true difference in proportions

In this case, if the interval contains 0, it suggests that there is no significant difference between Echinacea and placebo in terms of the proportion of individuals developing a cold after viral exposure. However, if the interval does not include 0, it indicates a significant difference, suggesting that Echinacea may have an effect on reducing the likelihood of developing a cold.

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Answer:

Leonardo da Vinci painted

The amount of fat in Cherry ice-cream is 24 grams.

The amount of fat in the Mint Chocolate Chunk ice-cream is 12 grams.

Writing data into equations using Algebra,3C + M = 84...(1)C + 3M = 60...(2)

Multiplying equation (2) by 3 and then subtracting equation (1) from

the result gives, 3 * (C +3M) = 3 × 603C + 9M = 180...(3)(3C + 9M = 180) - (3C + M = 84) = 8M =96M= 12

The amount of fat in the Mint Chocolate Chunk ice-cream, M = 12  

grams C + 12*3 = 60C = 60-36 = 24

The amount of fat in Cherry ice-cream C = 24 grams As a result, Cherry ice cream contains 24 grams of fat and Mint Chocolate Chunk ice cream contains 12 grams of fat.

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The area function Ap(x) represents the area of the region under the curve y = t³ between the vertical lines y = p and t = x. To find the formula for Ap(x), we need to integrate the function y = t³ with respect to t between the limits p and x.

∫[p,x] t³ dt = [t⁴/4]pᵡ

Now, substitute x for t in the above expression and subtract the result obtained by substituting p for t.

Ap(x) = [(x⁴/4) - (p⁴/4)]

Therefore, the formula for the area function Ap(x) is Ap(x) = (x⁴/4) - (p⁴/4). This formula depends on x and the parameter p, which represents the vertical line y = p.

In simpler terms, Ap(x) is the area of the shaded region between the curve y = t³ and the vertical lines y = p and t = x. The formula for Ap(x) is obtained by integrating the function y = t³ with respect to t and subtracting the result obtained by substituting p for t from the result obtained by substituting x for t.

In summary, the area function Ap(x) represents the area of the region under the curve y = t³ between the vertical lines y = p and t = x. The formula for Ap(x) is (x⁴/4) - (p⁴/4), which depends on x and the parameter p.

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For the given scenarios, Considering the conditions for the binomial distribution, The answer is YES.

A probability distribution is a mathematical function used in probability theory and statistics that estimates the likelihood that various possible outcomes of an experiment will occur. In terms of its sample space and event probability, it is a mathematical description of a random phenomena.

In probability theory and statistics, the discrete probability distribution of the number of successes in a series of n independent experiments, each asking a yes-or-no question and each with its own Boolean-valued outcome: success or failure, is known as the binomial distribution with parameters n and p.

From the given conditions, Yes the conditions are met for the binomial distribution.

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The distribution of the given function is a uniform distribution.

A strictly increasing function is the one which increases continuously in a given interval. If f-1(u) is a strictly increasing function of u, then the distribution of f-1(u) is the same as that of u. This is because a strictly increasing function preserves the rank ordering of its input, so if u-1 and u-2 are two random variables with a uniform distribution on the interval (0,1), then the rank order of f-1(u-1) and f-1(u-2) will be the same as the rank order of u-1 and u-2. Since the uniform distribution is defined by the rank order of its values, this means that the distribution of f-1(u) is also uniform on the interval (0,1).

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Answer:  The slope of the line is \(\frac{1}{5}\).

Step-by-step explanation:

To find the slope, m, of the line, we first find out two points in this line.

The option that rewrite the expression 1 / 3 + 2  / 5 using commutative law of addition is D.

The commutative property of addition states that a change in the order of the numbers being added does not affect the sum. In other words, when the order of a sum of values is changed, the commutative property of addition states that the sum of the numbers does not affect the sum of the numbers.

Therefore, let's use the commutative law of addition to rewrite 1 / 3 + 2  / 5.

Hence,

\(\frac{1}{3} + \frac{2}{5} = \frac{2}{5}+\frac{1}{3} = \frac{6+5}{15} = \frac{11}{15}\)

Therefore, the answer is D.

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Respuesta:

A. −3<x<2

B. 0≤x<6

C.7<x<12

Answer:

(½x+½y)²=6

Step-by-step explanation:

x^2 + y^2 = 14, xy=5

(A+B)^2=A^2 +2AB+B^2... (*)

(1/2x+1/2y)^2 =(*)

(1/2x)^2 +2(1/2x)(1/2y)+(1/2y)^2 =

1/4x^2 +1/2xy+1/4y^2=

1/4(x^2 +y^2) +1/2(xy)=

1/4*14+1/2*5=

14/4+5/2=

14/4+10/4=

24/4=6

let me know if I'm wrong.

( 1/2x +1/2y)²

= { ( x + y )/ 2xy }²

= ( x² + 2xy + y² )/4(xy)² —(1)

As we know that x² + y² = 14 — (2)

and xy = 5 —(3)

So, substitute the value of equation 2 and 3 in equation 1,

= ( x² + 2xy + y²)/4(xy)²

=( 14 + 2*5)/(4*5²)

= 24/(4*25)

= 6/25.

For the equilibrium system of Ni(H2O)6(aq) + 6NH3(aq) + HCl, adding more HCl will shift the equilibrium to the right, resulting in more Ni(NH3)2(aq) and H2O(l) being formed.

For the equilibrium system of Cu(H2O)4(aq) + 4Br-(aq) + heat, adding more heat (or increasing temperature) will shift the equilibrium to the left, resulting in less CuBr2(aq) and H2O(l) being formed.

For the equilibrium system of SO3(g) + 120(g) ↔ SO2(g) + O2(g), removing heat (or decreasing temperature) will shift the equilibrium to the right, resulting in more SO2(g) and O2(g) being formed.

For the equilibrium system of Ag2CO3(s) + 2Ag+(aq) + CO32-(aq), adding HCl(aq) will shift the equilibrium to the left, resulting in less Ag2CO3(s) and more Ag+(aq) and CO32-(aq) being formed.

For the equilibrium system of CaCO3(s) ↔ Ca2+(aq) + CO32-(aq), adding rainwater (which is typically slightly acidic) will shift the equilibrium to the left, resulting in less Ca2+(aq) and CO32-(aq) and more CaCO3(s) being formed.

For the equilibrium system of CH3COOH(aq) ↔ CH3COO-(aq) + H+(aq), adding CH3COONa(aq) will shift the equilibrium to the left, resulting in less CH3COO-(aq) and more CH3COOH(aq) being formed

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Answer:

Step-by-step explanation:

Answer:

(0, 3) and (-3, 0) are just two out of an infinite number of other points

Step-by-step explanation:

I found these 2 points by plugging in 0 for x and y would equal 3

Then I plugged in 0 for y and x would equal -3

Answer:

x = cost of a chair = £22

y = cost of a table = £65

£765

Step-by-step explanation:

Let

x = cost of a chair

y = cost of a table

4x + 2y = 218 (1)

6x + 7y = 587 (2)

Multiply (1) by 6 and (2) by 4

24x + 12y = 1,308 (3)

24x + 28y = 2,348 (4)

Subtract (3) from (4) to eliminate x

28y - 12y = 2,348 - 1,308

16y = 1,040

y = 1,040/16

y = 65

Substitute y = 65 into (1)

4x + 2y = 218 (1)

4x + 2(65) = 218

4x + 130 = 218

4x = 218 - 130

4x = 88

x = 88/4

x = 22

x = cost of a chair = £22

y = cost of a table = £65

Find the total cost of buying twenty chairs and five tables

20x + 5y

Substitute the values of x and y

20x + 5y

= 20(22) + 5(65)

= 440 + 325

= £765

Answer:

x = 5 ± \(\sqrt{17}\)

Step-by-step explanation:

Given

x² - 10x + 25 = 17 ← left side is a perfect square, thus

(x - 5)² = 17 ( take the square root of both sides )

x - 5 = ± \(\sqrt{17}\) ( add 5 to both sides )

x = 5 ± \(\sqrt{17}\)

Thus

x = 5 - \(\sqrt{17}\)

x = 5 + \(\sqrt{17}\)